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Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not...

Mathematics
WAEC 2003

Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
  • A. 5 or \( \frac{3}{2} \)
  • B. 1 or \( \frac{15}{13} \)
  • C. 2 or 15
  • D. 13 or 15
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Correct Answer: Option A
Explanation
The fraction is undefined when the denominator is equal to zero
\(2x^2 - 13x + 15 = 0\\
2x^2 - 3x - 10x + 15\\
x(2x-3)-5(2x-3) = 0\\
(2x-3)(x-5)=0\\
x = \frac{3}{2} or x = 5\)

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